A note on the convergence of quantizers.
A Reproducing Kernel and Toeplitz Operators in the Quantum Plane
We define and analyze Toeplitz operators whose symbols are the elements of the complex quantum plane, a non-commutative, infinite dimensional algebra. In particular, the symbols do not come from an algebra of functions. The process of forming operators from non-commuting symbols can be considered as a second quantization. To do this we construct a reproducing kernel associated with the quantum plane. We also discuss the commutation relations of creation and annihilation operators which are defined...
Bohr–Sommerfeld quantization condition for non-selfadjoint operators in dimension 2.
Connections on distributional bundles
Covariant functional quantizations of superstrings
Egorov theorems and equidistribution of eigenfunctions for the quantized sawtooth and Baker maps
Faster than Hermitian time evolution.
How the μ-deformed Segal-Bargmann space gets two measures
This note explains how the two measures used to define the μ-deformed Segal-Bargmann space are natural and essentially unique structures. As is well known, the density with respect to Lebesgue measure of each of these measures involves a Macdonald function. Our primary result is that these densities are the solution of a system of ordinary differential equations which is naturally associated with this theory. We then solve this system and find the known densities as well as a "spurious" solution...
Le spin et la relativité restreinte
Maps into and applications
Measure solutions for semilinear evolution equations with polynomial growth and their optimal control
In this paper we introduce a new concept of generalized solutions generalizing the notion of relaxed solutions recently introduced by Fattorini. We present some results on the question of existence of generalized or measure valued solutions for semilinear evolution equations on Banach spaces with polynomial nonlinearities. The results are illustrated by two examples one of which arises in nonlinear quantum mechanics. The results are then applied to some control problems.
On the Correspondence Principle for the Quantized Annulus.
On two reverse inequalities in the Segal-Bargmann space.
Positivity Properties of Measures in Euclidean Quantum Field Theory
Quantification relativiste
Quantization on submanifolds
-linear algebra in economics and physics.
Semiclassical quantization of circular billiard in homogeneous magnetic field: Berry-Tabor approach.
Semiclassical quantum mechanics, IV : large order asymptotics and more general states in more than one dimension
Strong uniqueness for certain infinite dimensional Dirichlet operators and applications to stochastic quantization